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Метод характеристических мод

В. П. Кудин1, И. А. Фаняев2

обзорная статья УДК 621.396.67 Страницы: 7-20 doi.org/10.18127/j03209601-202403-02

  1. 1 Гомельский государственный технический университет имени П.О. Сухого (г. Гомель, Республика Беларусь)
  2. 2 Гомельский государственный университет имени Франциска Скорины (г. Гомель, Республика Беларусь)
Ключевые слова: Метод характеристических модметод моментовмодальное отслеживаниекомпозитная структураMIMO-антеннаантенная решетка

Аннотация

Постановка проблемы. В настоящее время за рубежом значительно вырос интерес к методу характеристических мод и увеличилось число решаемых с его помощью задач. Привлекательность этого метода заключается в том, что он дает ясную физическую картину происходящих явлений и возможность построить способы создания конструкций с требуемыми параметрами. Однако в отечественной научной литературе метод характеристических мод не получил пока широкого распространения.

Цель. Исследовать возможности метода характеристических мод и области его применения.

Результаты. Проведен обзор публикаций, посвященных методу характеристических мод, как ранних, основополагающих, так и появившихся недавно, а также работ, содержащих решения конкретных электродинамических задач с помощью рассматриваемого метода.

Практическая значимость. Рассмотренный метод характеристических мод будет полезен специалистам при разработке, анализе или синтезе новых антенных конструкций, удовлетворяющих современным требованиям.

Поступила
02.04.2024
Одобрена
12.04.2024
Принята
22.05.2024

Для цитирования

Кудин В.П., Фаняев И.А. Метод характеристических мод // Антенны. 2024. № 3. С. 7–20. DOI: https://doi.org/10.18127/j03209601-202403-02

Список источников
  1. Garbacz R.J. A generalized expansion for radiated and scattered fields // IEEE Transactions on Antennas and Propagation. 1971. V. 9. № 3. P. 348–358.
  2. Harrington R.F. Theory of characteristic modes for conducting bodies // IEEE Transactions on Antennas and Propagation. 1971. V. 19. № 5. P. 622–628.
  3. Harrington R.F., Mautz J.R. Computation of characteristic modes for conducting bodies // IEEE Transactions on Antennas and Propagation. 1971. V. 19. № 5. P. 629–639.
  4. Harrington R.F., Mautz J.R., Chang Y. Characteristic modes for dielectric and magnetic bodies // IEEE Transactions on Antennas and Propagation. 1972. V. 20. № 2. P. 194–198.
  5. Harrington R.F., Mautz J.R. Control of radar cross section by reactive loading // IEEE Transactions on Antennas and Propagation. 1972. V. 20. № 4. P. 446–454.
  6. Mautz J.R., Harrington R.F. Modal analysis of loaded N-port scatterers // IEEE Transactions on Antennas and Propagation. 1973. V. 21. № 2. P. 188–199.
  7. Harrington R.F., Mautz J.R. Characteristic modes for aperture problems // IEEE Transactions on Antennas and Propagation. 1985. V. 33. № 6. P. 500–505.
  8. Garbacz R.J., Newman E.H. Characteristic modes of a symmetric wire cross // IEEE Transactions on Antennas and Propagation. 1980. V. 28. № 5. P. 712–715.
  9. Harrington R.F. Field computation by moment methods. New York: Machmillan. 1968.
  10. Austin B.A., Murray K.P. The application of characteristic-mode techniques to vehicle-mounted NVIS antennas // IEEE Antennas and Propagation Magazine. 1998. V. 40. № 1. P. 7–21.
  11. Rao S.M., Wilton D.R., Glisson A.W. Electromagnetic scattering by surfaces of arbitrary shape // IEEE Transactions on Antennas and Propagation. 1982. V. 30. № 5. P. 409–418.
  12. Lucente E., Monorchio A., Mittra R. An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems // IEEE Transactions on Antennas and Propagation. 2008. V. 56. № 4. P. 999–1007.
  13. Li C., Sharawi M.S., Mittra R. Fast computation of electromagnetic scattering from dielectric objects using quadrilateral piecewise sinusoidal basis and characteristic basis function method // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 7. P. 5683–5692.
  14. Lau B.K., Capek M., Hassan A.M. Characteristic modes: Progress, overview, and emerging topics // IEEE Antennas and Propagation Magazine. 2022. V. 64. № 2. P. 14–22.
  15. Chen Y., Wang C.-F. Characteristic modes: Theory and applications in antenna engineering. New York: Wiley. 2015.
  16. Li W., et al. Modal proportion analysis in antenna characteristic mode theory // International Journal of Antennas and Propagation. 2019. V. 2019.
  17. Kaffash S., et al. A fast computational method for characteristic modes and eigenvalues of array antennas // IEEE Transactions on Antennas and Propagation. 2020. V. 68. № 12. P. 7879–7892.
  18. Lian R.Z., Guo X.Y., Xia M.Y. Work-energy principle based characteristic mode theory with solution domain compression for metal-material composite scattering systems // IEEE Transactions on Antennas and Propagation. 2021. V. 70. № 5. P. 3628–3642.
  19. Lian R.Z., Guo X.Y., Xia M.Y. Entire-structure-oriented work-energy theorem (ES-WET)-based characteristic mode theory for material scattering objects // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 7. P. 5699–5714.
  20. Jia C., et al. Thin dielectric sheet approximation-based characteristic mode formulations for lossless dielectric coated conducting bodies // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 12. P. 12019–12029.
  21. Shi G., et al. Theoretic study of antenna scattering problems based on characteristic modes and its applications in reducing antenna scattering // IEEE Transactions on Antennas and Propagation. 2022. V. 71. № 3. P. 2098–2109.
  22. Capek M., et al. Method for tracking characteristic numbers and vectors // Progress in Electromagnetics Research B. 2011. V. 33. P. 115–134.
  23. Raines B.D., Rojas R.G. Wideband characteristic mode tracking // IEEE Transactions on Antennas and Propagation. 2012. V. 60. № 7. P. 3537–3541.
  24. Ludick D.J., Jakobus U., Vogel M. A tracking algorithm for the eigenvectors calculated with characteristic mode analysis // The 8th European Conference on Antennas and Propagation (EuCAP 2014). Hague, Netherlands. 2014. P. 569–572.
  25. Miers Z., Lau B.K. Wide band characteristic mode tracking utilizing far-field patterns // IEEE Antennas and Wireless Propagation Letters. 2015. V. 14. P. 1658–1661.
  26. Schab K.R., et al. Eigenvalue crossing avoidance in characteristic modes // IEEE Transactions on Antennas and Propagation. 2016. V. 64. № 7. P. 2617–2627.
  27. Schab K.R., Bernhard J.T. A group theory rule for predicting eigenvalue crossings in characteristic mode analyses // IEEE Antennas and Wireless Propagation Letters. 2016. V. 16. P. 944–947.
  28. Safin E., Manteuffel D. Advanced eigenvalue tracking of characteristic modes // IEEE Transactions on Antennas and Propagation. 2016. V. 64. № 7. P. 2628–2636.
  29. He Q., et al. A double modal parameter tracking method to characteristic modes analysis // Aces Journal. 2017. V. 32. № 12. P. 1069–1076.
  30. Akrou L., da Silva H.J.A. Enhanced modal tracking for characteristic modes // IEEE Transactions on Antennas and Propagation. 2018. V. 67. № 1. P. 356–360.
  31. Li W., et al. Fast implementation of characteristic mode tracking // IET Microwaves, Antennas and Propagation. 2018. V. 12. № 14. P. 2179–2183.
  32. Masek M., et al. Modal tracking based on group theory // IEEE Transactions on Antennas and Propagation. 2020. V. 68. № 2. P. 927–937.
  33. Chen X.J., Pan Y.M., Su G.D. An advanced eigenvector-correlation-based tracking method for characteristic modes // IEEE Transactions on Antennas and Propagation. 2020. V. 69. № 5. P. 2751–2758.
  34. Xiao Z., et al. Mode tracking method based on information entropy // AIP Advances. 2022. V. 12. № 3. P. 035334.
  35. Yazdani-Shavakand M., Ahmadi-Shokouh J., Dashti H. A fast multi-structural tracking method for characteristic modes with the ability to identify and amend errors // IET Microwaves, Antennas and Propagation. 2023. V. 17. № 1. P. 62–74.
  36. Huang C., et al. An enhanced wideband tracking method for characteristic modes // International Journal of Microwave and Wireless Technologies. 2024. P. 1–11.
  37. Cabedo-Fabres M., et al. The theory of characteristic modes revisited: A contribution to the design of antennas for modern applications // IEEE Antennas and Propagation Magazine. 2007. V. 49. № 5. P. 52–68.
  38. Ylä-Oijala P. Generalized theory of characteristic modes // IEEE Transactions on Antennas and Propagation. 2019. V. 67. № 6. P. 3915–3923.
  39. Gustafsson M., et al. Unified theory of characteristic modes – part I: Fundamentals // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 12. P. 11801–11813.
  40. Gustafsson M., et al. Unified theory of characteristic modes – part II: Tracking, losses, and FEM evaluation // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 12. P. 11814–11824.
  41. Capek M., et al. Characteristic mode decomposition using the scattering dyadic in arbitrary full-wave solvers // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 1. P. 830–839.
  42. Kuosmanen M., et al. Orthogonality properties of characteristic modes for lossy structures // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 7. P. 5597–5605.
  43. Jia C., et al. Convergence acceleration of characteristic mode-based basis function method for connected array structures // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 8. P. 7322–7327.
  44. Chen Y., Wang C.F. HF band shipboard antenna design using characteristic modes // IEEE Transactions on Antennas and Propagation. 2015. V. 63. № 3. P. 1004–1013.
  45. Wang C., Chen Y., Yang S. Application of characteristic mode theory in HF band aircraft-integrated multi-antenna system designs // IEEE Transactions on Antennas and Propagation. 2019. V. 67. № 1. P. 513–521.
  46. Shih T.-Y., Behdad N. Bandwidth enhancement of platform-mounted HF antennas using the characteristic mode theory // IEEE Transactions on Antennas and Propagation. 2016. V. 64. № 7. P. 2648–2659.
  47. Chen Y., Wang C.F. Electrically small UAV antenna design using characteristic modes // IEEE Transactions on Antennas and Propagation. 2013. V. 62. № 2. P. 535–545.
  48. Schab K. Sparsity of radiating characteristic modes on infinite periodic structures // IEEE Antennas and Wireless Propagation Letters. 2021. V. 21. № 2. P. 312–316.
  49. Chen Y., Wang C.F. Synthesis of reactively controlled antenna arrays using characteristic modes and DE algorithm // IEEE Antennas and Wireless Propagation Letters. 2012. V. 11. P. 385–388.
  50. Wei C., Zhang Z.Y., Wu K.L. Phase compensation for decoupling of large-scale staggered dual-polarized dipole array antennas // IEEE Transactions on Antennas and Propagation. 2019. V. 68. № 4. P. 2822–2831.
  51. Zhang D., Chen Y., Yang S. A self-decoupling method for antenna arrays using high-order characteristic modes // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 3. P. 2760–2769.
  52. Li H., et al. Characteristic mode based tradeoff analysis of antenna-chassis interactions for multiple antenna terminals // IEEE Transactions on Antennas and Propagation. 2011. V. 60. № 2. P. 490–502.
  53. Miers Z.T., Lau B.K. Computational analysis and verifications of characteristic modes in real materials // IEEE Transactions on Antennas and Propagation. 2016. V. 64. № 7. P. 2595–2607.
  54. Zhang H.H., et al. Design of low-SAR and high on-body efficiency tri-band smartwatch antenna utilizing the theory of characteristic modes of composite PEC-lossy dielectric structures // IEEE Transactions on Antennas and Propagation. 2022. V. 71. № 2. P. 1913–1918.
  55. Huang S., Wang C.-F., Tang M.-C. Generalized surface integral equation based sub-structure characteristic mode solution to composite objects // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 3. P. 2626–2639.
  56. Miers Z., Li H., Lau B.K. Design of bandwidth-enhanced and multiband MIMO antennas using characteristic modes // IEEE Antennas and Wireless Propagation Letters. 2013. V. 12. P. 1696–1699.
  57. Kishor K.K., Hum S.V. A pattern reconfigurable chassis-mode MIMO antenna // IEEE Transactions on Antennas and Propagation. 2014. V. 62. № 6. P. 3290–3298.
  58. Li H., Miers Z.T., Lau B.K. Design of orthogonal MIMO handset antennas based on characteristic mode manipulation at frequency bands below 1 GHz // IEEE Transactions on Antennas and Propagation. 2014. V. 62. № 5. P. 2756–2766.
  59. Jabire A.H., et al. Characteristic mode analysis and design of wide band MIMO antenna consisting of metamaterial unit cell // Electronics. 2019. V. 8. № 1. P. 68.
  60. Mohanty A., Behera B.R. Characteristics mode analysis: A review of its concepts, recent trends, state-of-the-art developments and its interpretation with a fractal UWB MIMO antenna // Progress In Electromagnetics Research B. 2021. V. 92.
  61. Lin J.-F., Deng H., Zhu L. Design of low-profile compact MIMO antenna on a single radiating patch using simple and systematic characteristic modes method // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 3. P. 1612–1622.
  62. Zhang H.H., et al. Low-SAR MIMO antenna array design using characteristic modes for 5G mobile phones // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 4. P. 3052–3057.
  63. Hu W., et al. Wideband back-cover antenna design using dual characteristic modes with high isolation for 5G MIMO smartphone // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 7. P. 5254–5265.
  64. Jiang F., et al. Multiport pixel antenna optimization using characteristic mode analysis and sequential feeding port search // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 10. P. 9160–9174.
  65. Khaleel S.A., et al. MTM-inspired graphene-based THz MIMO antenna configurations using characteristic mode analysis for 6G/IoT applications // Electronics. 2022. V. 11. № 14. P. 2152.
  66. Lai Q.X., Pan Y.M., Zheng S.Y. A self-decoupling method for MIMO antenna array using characteristic mode of ground plane // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 3. P. 2126–2135.
  67. Manteuffel D., Martens R. Compact multimode multielement antenna for indoor UWB massive MIMO // IEEE Transactions on Antennas and Propagation. 2016. V. 64. № 7. P. 2689–2697.
  68. Li H., et al. Characteristic mode based pattern reconfigurable antenna for mobile handset // 2015 9th European Conference on Antennas and Propagation (EuCAP). Lisbon, Portugal. 2015. P. 1–4.
  69. Luo Y., et al. Efficiency improvement of smartphone antennas using higher-order mode suppression under characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 11. P. 10304–10317.
  70. Li K., Shi Y. Filtering antenna synthesis based on characteristic mode theory // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 5. P. 3308–3319.
  71. Obeidat K.A., Raines B.D., Rojas R.G. Application of characteristic modes and non-foster multiport loading to the design of broadband antennas // IEEE Transactions on Antennas and Propagation. 2009. V. 58. № 1. P. 203–207.
  72. Wu W., Zhang Y.P. Analysis of ultra-wideband printed planar quasi-monopole antennas using the theory of characteristic modes // IEEE Antennas and Propagation Magazine. 2010. V. 52. № 6. P. 67–77.
  73. Obeidat K.A., et al. Design of frequency reconfigurable antennas using the theory of network characteristic modes // IEEE Transactions on Antennas and Propagation. 2010. V. 58. № 10. P. 3106–3113.
  74. Antonino-Daviu E., et al. Modal analysis and design of band-notched UWB planar monopole antennas // IEEE Transactions on Antennas and Propagation. 2010. V. 58. № 5. P. 1457–1467.
  75. Eichler J., et al. Design of a dual-band orthogonally polarized L-probe-fed fractal patch antenna using modal methods // IEEE Antennas and Wireless Propagation Letters. 2011. V. 10. P. 1389–1392.
  76. Adams J.J., Bernhard J.T. A modal approach to tuning and bandwidth enhancement of an electrically small antenna // IEEE Transactions on Antennas and Propagation. 2011. V. 59. № 4. P. 1085–1092.
  77. Chen Y., Wang C.F. Characteristic-mode-based improvement of circularly polarized U-slot and E-shaped patch antennas // IEEE Antennas and Wireless Propagation Letters. 2012. V. 11. P. 1474–1477.
  78. Ludick D.J., Lezar E., Jakobus U. Characteristic mode analysis of arbitrary electromagnetic structures using FEKO // 2012 International Conference on Electromagnetics in Advanced Applications. Cape Town, South Africa. 2012. P. 208–211.
  79. Ethier J.L.T., McNamara D.A. Antenna shape synthesis without prior specification of the feedpoint locations // IEEE Transactions on Antennas and Propagation. 2014. V. 62. № 10. P. 4919–4934.
  80. Rezaiesarlak R., Manteghi M. Design of chipless RFID tags based on characteristic mode theory (CMT) // IEEE Transactions on Antennas and Propagation. 2014. V. 63. № 2. P. 711–718.
  81. Noguchi K., Rajagopalan H., Rahmat-Samii Y. Design of wideband/dual-band E-shaped patch antennas with the transmission line mode theory // IEEE Transactions on Antennas and Propagation. 2015. V. 64. № 4. P. 1183–1192.
  82. Zeng J., et al. Penta-mode ultrawideband circularly polarized stacked patch antennas using characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 10. P. 9051–9060.
  83. Li H., et al. Pattern synthesis for lossy antennas based on N-port characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 6. P. 4628–4639.
  84. Shariff B.G.P., et al. Characteristic mode analysis based highly flexible antenna for millimeter wave wireless applications // Journal of Infrared, Millimeter, and Terahertz Waves. 2024. V. 45. № 1. P. 1–26.
  85. Yang Y., et al. Multi-band circularly polarized antenna for WLAN and WiMAX applications based on characteristic mode theory // International Journal of Microwave and Wireless Technologies. 2024. P. 1–9.
  86. Lin F.H., Chen Z.N. Low-profile wideband metasurface antennas using characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2017. V. 65. № 4. P. 1706–1713.
  87. Salih A.A., Chen Z.N., Mouthaan K. Characteristic mode analysis and metasurface-based suppression of higher order modes of a 2×2 closely-spaced phased array // IEEE Transactions on Antennas and Propagation. 2017. V. 65. № 3. P. 1141–1150.
  88. Lin F.H., Chen Z.N. A method of suppressing higher order modes for improving radiation performance of metasurface multiport antennas using characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2018. V. 66. № 4. P. 1894–1902.
  89. Guo J., et al. Design of a circuit-free filtering metasurface antenna using characteristic mode analysis // IEEE Transactions on Antennas and Propagation. 2022. V. 70. № 12. P. 12322–12327.
  90. Gao J.F., Lin F.H. Modeling and analysis of wideband multilayer metasurface antenna array using characteristic-mode analysis // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 3. P. 2832–2836.
  91. El Yousfi A., et al. A broadband circularly polarized single-layer metasurface antenna using characteristic-mode analysis // IEEE Transactions on Antennas and Propagation. 2023. V. 71. № 4. P. 3114–3122.
  92. Capek M., Schab K. Computational aspects of characteristic mode decomposition: An overview // IEEE Antennas and Propagation Magazine. 2022. V. 64. № 2. P. 23–31.
  93. Adams J.J., et al. Antenna element design using characteristic mode analysis: Insights and research directions // IEEE Antennas and Propagation Magazine. 2022. V. 64. № 2. P. 32–40.
  94. Kollipara V., Peddakrishna S. Circularly polarized antennas using characteristic mode analysis: A review // Advances in Technology Innovation. 2022. V. 7. № 4. P. 242.
  95. Джалилов Б.О. Исследование и разработка электрически перестраиваемой антенны для мобильных устройств. Дисс. ... канд. физ.-мат. наук. Санкт-Петербург. 2017.
  96. Уваров А.В. Сверхширокополосные печатные ненаправленные интегральные антенны для устройств беспроводной радиосвязи. Дисс. … канд. физ.-мат. наук. Москва. 2021.
  97. Майоров А.Г. Решение внутренней задачи электродинамики для вибраторной антенны методом собственных функций и методом характеристических мод // XXVIII Российская научно-техническая конференция профессорско-преподавательского состава, научных сотрудников и аспирантов университета с приглашением ведущих ученых и специалистов родственных вузов и организаций. Самара. 2021. С. 97–98.
  98. Беличенко В.П. и др. Моделирование влияния встречных реактивных полей на диаграммные свойства антенных решеток // Актуальные проблемы радиофизики. 2019. С. 91–92.
  99. Бочарова Е.А., Серегин Г.М. Использование СМА-анализа применительно к моделированию многофункциональной антенной системы компактного датчика цели // Modern Science. 2022. № 5-2. С. 237–244.
  100. Беличенко В.П. и др. Плоская Ф-антенна // Техника радиосвязи. 2023. Т. 1. № 56. С. 54–63.
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